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UID:5b67bb905a2754dbb69cb8af09ad465d
CATEGORIES:Nonlinear Analysis
CREATED:20230923T130828
SUMMARY:Regularity of stable solutions to semilinear elliptic problems
LOCATION:Hill 705
DESCRIPTION:Abstract: A classical problem in PDEs concerns the regularity of stable sol
 utions to nonlinear elliptic equations. This turns out to be a delicate que
 stion, even for apparently simple semilinear problems. In this setting, the
  smoothness of stable solutions depends on the dimension. Namely, for the L
 aplacian, Cabré, Figalli, Ros-Oton, and Serra (2020) have shown that stable
  solutions are smooth up to dimension 9, while singularities may appear in 
 higher dimensions. In this talk, I will discuss analogous results for more 
 general operators while giving an overview of the regularity theory for sta
 ble solutions.\n
X-ALT-DESC;FMTTYPE=text/html:<p>Abstract: A classical problem in PDEs concerns the regularity of stable 
 solutions to nonlinear elliptic equations. This turns out to be a delicate 
 question, even for apparently simple semilinear problems. In this setting, 
 the smoothness of stable solutions depends on the dimension. Namely, for th
 e Laplacian, Cabré, Figalli, Ros-Oton, and Serra (2020) have shown that sta
 ble solutions are smooth up to dimension 9, while singularities may appear 
 in higher dimensions. In this talk, I will discuss analogous results for mo
 re general operators while giving an overview of the regularity theory for 
 stable solutions.</p>
CONTACT: Inigo Urtiaga Erneta, Rutgers University
DTSTAMP:20260930T231012
DTSTART;TZID=America/New_York:20231003T134000
DTEND;TZID=America/New_York:20231003T144000
SEQUENCE:0
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